)
and its core loop (an interior point
) is standard, using the notion of
Heegaard splittings of pairs of
-manifolds and properly imbedded graphs,
which is defined in this paper.
Full paper in PDF:
$%C. Hayashi and K. Shimokawa, Heegaard splittings of the pair of the solid torus and the core
loop, Rev. Mat. Complut. 14 (2001), no. 2, 479–501.%$
Department of Mathematics Faculty of Science Gakushuin University 1-5-1 Mejiro Toshima-ku Tokyo, 171 — Japan | Graduate School of Information Sciences Tohoku University 2-1-1 Katahira Aoba-ku Sendai, 980-8577 — Japan |
ABSTRACT
We show that any Heegaard splitting of the pair of the solid torus ()
and its core loop (an interior point
) is standard, using the notion of
Heegaard splittings of pairs of
-manifolds and properly imbedded graphs,
which is defined in this paper.
2000 Mathematics Subject Classification: 57M25, 57N10.